Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C42 |
No aliases for this group.
| Sylow | C89 ⋊ #1747 |
200 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=e,b^2=f,c^2=d,d^2=g,b^a=bd,f^a=fg,h^a=h^88,e^b=eg,h^b=h^88,h^c=h^881012 conjugacy classes — view the full character table.
| maximal subgroup of | #36464965, #36464967, #36464971, … |
| maximal normal subgroup of | #36464965, #36464967, #36464971, … |
| maximal quotient of | #36444868, #36444872, #36444876, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 4266);